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|1 - 4x| > 7
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first we do \[|1 - 4x| > 7 \]\[|1 - 4x| > -7\]
then we take off the absolute values
and make as a normal equation
so it would be \[1−4x>7 \] and \[1−4x>−7\]
then you do the process of subtracting both sides 1 on both equations
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so so it would be \[−4x>6\] and \[−4x>-8\]
then you divide both sides
so it would be \[x<\frac{ 6 }{ -4 }\] and \[x<\frac{−8 }{ -4 } \]
then you simplify
\[x<-\frac{ 3 }{ 2 }\]
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and
\[x<2\]
hope i helped
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